Exponents and Exponent Rules

Exponents and Exponent Rules

Multiple Choice

Find the equivalent expression.

9 x 9 x 9 x 9 x 9

• 9⁵
• 9¹⁵
• 9 x 5
• 9 + 9 + 9 + 9+ 9

Multiple Choice

Which is equivalent to 2⁴

• 8
• 20
• 16
• 12

Multiple Choice

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 

• 7⁵
• 7⁶
• 6⁷
• 7⁷

Multiple Choice

Which is equivalent to 5 x 5 x 5 x 5

• 5³
• 5⁴
• 4⁵
• 5⁵

Multiple Choice

In 2³ what is the base?

• 2
• 3
• 2³

Multiple Choice

Simplify (-4x)⁰
(Hint: parenthesis matter)

• -4
• 4x
• -1
• 1

Multiple Choice

7x⁰

• 7x

• 7

• 1

• 0

Multiple Choice

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Multiple Choice

Simplify (-9)⁰

• -9
• -1
• 1
• 9

Multiple Choice

If the bases are the same, then you....

• Multiply the exponents

• Subtract the exponents

• Add the exponents

• Divide the exponents

Multiple Choice

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

• When he multiplies exponents, he is supposed to add the base and the exponent
• When he multiplies exponents, he is supposed to multiply the base and keep the exponents
• When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same
• None of the above

Multiple Choice

4⁷⋅4⁴

• 16²⁸
• 8²⁸
• 16¹¹
• 8¹¹

Multiple Choice

6⁶⋅4⁶

• 24¹²
• 10³⁶
• 24³⁶
• 10¹²

Multiple Choice

4⁵⋅3³

• 7⁸
• 7¹⁵
• 12¹⁵
• 12⁸

Multiple Choice

5³⋅5⁶

• 10¹⁸
• 25⁹
• 10⁹
• 25⁹

Multiple Choice

According to exponent rules, when we divide the expressions we _______ the exponents, if the bases are the same..

• add

• subtract

• multiply

• divide

Multiple Choice

• 9⁵
• 9⁹
• 1⁵
• 9^-5

Multiple Choice

• y¹⁴
• y¹⁰
• 1¹⁴
• 1¹⁰

Multiple Choice

• 1¹⁰
• 1²⁶
• z¹⁰
• z²⁶

Multiple Choice

• 4³

• 4¹⁵

• 1³

• 1¹⁵

Multiple Choice

Rewrite each expression with a negative exponent.
¹/₁₂₅

• ¹/_5³
• 5³
• 5^-3
• ¹/_5-3

Multiple Choice

Rewrite each expression with a negative exponent.
¹/_(-5)⁷

• (-5)⁷
• ¹/_(-5)^-7
• (-5)^-7
• ¹/_78,125

Multiple Choice

Rewrite each expression with a negative exponent.
¹/_12⁴

• ¹/_12^-4
• 12⁴
• ¹/_20,736
• 12^-4

Multiple Choice

Rewrite using a positive exponent.
(-5)^-4

• (-5)⁴
• ¹/_(-5)^-4
• ¹/_(-5)⁴
• -625

Multiple Choice

Rewrite using a positive exponent.
7^-10

• ¹/_7¹⁰
• 7¹⁰
• ¹/_7^-10
• -70

Multiple Choice

(5³)⁷

• 5²¹
• 5¹⁰
• 5⁴
• 125²¹

Multiple Choice

Simplify:
(xy²)⁴

• x⁴y²
• x⁴y⁸
• x³y²
• x⁵y⁶

Multiple Choice

Simplify:
(x³)²

• x⁵
• x
• x⁶
• 3x²

Multiple Choice

(r⁴)⁶

• 10r
• r¹⁰
• 24r
• r²⁴

Multiple Choice

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

• add
• subtract
• multiply
• divide